\toprule
\multicolumn{3}{l}{\textbf{Panel A: Negative and positive weights}}\\
 & Sum & Mean & Share \\  \cmidrule(lr){2-4}
Negative & -0.452 & -0.005 & 0.237 \\
Positive & 1.452 & 0.010 & 0.763 \\
\multicolumn{5}{l}{\textbf{Panel B: Correlations of Industry Aggregates} }\\
 &$\alpha_k$ & $g_{k}$ & $\beta_k$ & $F_{k}$ & Var($z_k$) \\
\cmidrule(lr){2-6} 
 & \\
 $\alpha_k$             & 1\\
 $g_{k}$                &   0.036  & 1\\
 $\beta_{k}$             &   0.068  & -0.017    &1\\
 $F_{k}$                &   0.223  & 0.194    &  0.023  & 1\\
 Var($z_{k}$)           &   0.227  & -0.191    &  -0.013  &  0.111   &1\\
\multicolumn{5}{l}{\textbf{Panel C: Variation across years in $\alpha_{k}$}}\\
 & Sum & Mean \\  \cmidrule(lr){2-3}
1980 & 1.000 & 0.004 \\
\multicolumn{5}{l}{\textbf{Panel D: Top 5 Rotemberg weight industries} }\\
 & $\hat{\alpha}_{k}$ & $g_{k}$ & $\hat{\beta}_{k}$ & 95 \% CI & Ind Share \\ \cmidrule(lr){2-6}
Landscaping & 0.077 & 0.176 & -0.064 & (-1.00,0.00)  & 0.213 \\ 
Oil+Gas Extraction & 0.068 & -0.041 & 1.540 & (-1.00,0.00)  & 0.568 \\ 
Blast furnaces & 0.106 & -0.058 & 1.161 & (-1.00,0.00)  & 0.800 \\ 
Hotels and motels & 0.068 & 0.034 & -0.373 & (-1.00,0.00)  & 0.768 \\ 
Recreation services & 0.069 & 0.063 & -0.252 & (-1.00,0.00)  & 0.481 \\ 
\multicolumn{5}{l}{\textbf{Panel E: Estimates of $\beta_{k}$ for positive and negative weights} }\\
 & $\alpha$-weighted Sum & Share of overall $\beta$ & Mean  \\ \cmidrule(lr){2-3}
 Negative & 0.098 & 0.381 &-1.230 \\
 Positive & 0.160 & 0.619 & -1.010 \\
\bottomrule
